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Finding the Fourth Proportional to 778.46, 1,166.49 and 393.98

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Solution

The fourth proportional to 778.46, 1,166.49 and 393.98 is: 590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.46 : 1,166.49 = 393.98 : x
  2. Step 2: Convert to fraction form
    778.46/1,166.49 = 393.98/x
  3. Step 3: Cross multiply
    778.46x = 1,166.49 × 393.98
  4. Step 4: Simplify right side
    778.46x = 459,573.73
  5. Step 5: Solve for x
    x = 459,573.73/778.46
  6. Step 6: Final answer
    x = 590.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.